"I certainly don't hate Mitt because he's been on Leno's show more," Letterman said

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The late-night host said that Romney and "Mrs. Mitt" are welcome on his show.

David Letterman has poked fun at Mitt Romney, but he doesn't actually hate the Republican presidential nominee.

The CBS "Late Show" host took time out of his broadcast Wednesday to respond to comments Romney made during a secretly recorded fundraiser in May. Aside from controversial comments made about the politics of the election, Romney also commented on the politics of late night talk shows.

"I've been on Letterman a couple of times," Romney said. "I've been on Leno more than a couple times, and now Letterman hates me because I've been on Leno more than him. They're very jealous of one another as you know."

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The talk show host even made Romney an offer.

"I don't hate Mitt, and I think now more than ever, him and his lovely wife, Mrs. Mitt, are more than welcome to come to the show," he said, "and I'm telling you, if you think you're going to get to the White House, you've got to spend time in this chair. We'll get him in here and see how it goes."

President Barack Obama, who’s appeared on Letterman's show regularly, made another appearance Tuesday, using the opportunity to respond for the first time about Romney’s secretly-taped remarks.

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"My expectation is that if you want to be president, you have to work for everyone, not just for some," Obama said, referring to Romney's now-famous "47 percent" remark.

Shortly after Obama’s visit to Letterman’s show, “The Tonight Show” announced that Ann Romney was booked for Sept. 25. It will be her first late-night interview.